Question 1

Use the following to answer questions :
The data in the table can be modeled using the function y = A tan(Bx).
  
-Find the value of A.

Accepted Answer

A)  2.5 
B)  3.8 
C)  5.7 
D)  9.2 
A)  2.5 
B)  3.8 
C)  5.7 
D)  9.2 B

Question 2

Use the following to answer questions :
y = 190 sin  
-Identify the endpoints of the primary interval (PI).

Accepted Answer

A)  PI:  7_$\le$ t <
  
B)  PI:   $\le$ t <
  
C)  PI: -6 $\le$ t < 4 
D)  PI: 6 $\le$ t < 16 
A)  PI:  7_$\le$ t <
  
B)  PI:   $\le$ t <
  
C)  PI: -6 $\le$ t < 4 
D)  PI: 6 $\le$ t < 16 C

Question 3

Use the given solution and the period of the function to name all real roots. t =   , tan t ≈ 0.2936

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)    B

Question 4

Use the following to answer questions :
y = 190 sin  
-Identify the amplitude (A).

Accepted Answer

A)  |A| = 8 
B)  |A| = -8 
C)  |A| = 70 
D)  |A| = -70 
A)  |A| = 8 
B)  |A| = -8 
C)  |A| = 70 
D)  |A| = -70

Question 5

State the exact value of   . A diagram may help.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 6

Graph f(t) = 3 tan t over the interval [-2π, 2π].

Accepted Answer

The answer of Graph f(t) = 3 tan t over...

Question 7

State the value of   without the use of a calculator.

Accepted Answer

A)  -1 
B)  0 
C)  1 
D)  undefined 
A)  -1 
B)  0 
C)  1 
D)  undefined

Question 8

Evaluate tan 660° in exact form.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Use the following to answer questions :
An employee looks out his office window at a factory across the street. He estimates his office building and the factory building are 60 ft apart, the angle of depression to the base of the factory is 62°, and the angle of elevation to the top of the factory building is 23°.
-How tall is the factory across the street? Round to the nearest tenth of a foot.

Accepted Answer

A)  approx. 122.5 ft 
B)  approx. 130.7 ft 
C)  approx. 138.3 ft 
D)  approx. 145.9 ft 
A)  approx. 122.5 ft 
B)  approx. 130.7 ft 
C)  approx. 138.3 ft 
D)  approx. 145.9 ft

Question 10

State the quadrant of the terminal side and the sign of the function in that quadrant. Then evaluate the expression using a calculator. Round to four decimal places.
csc 669°

Accepted Answer

QIV, negat

Question 11

Use the function value given to determine the value of the other five trig functions of the acute angle $\theta$. Answer in exact form (a diagram will help).

Accepted Answer

The answer of Use the function value given to determine...

Question 12

Write the equation of the graph given. Write the answer in the form y = A sin(Bt +

Accepted Answer

A)    
B)    
C)    C + D.
  
D)    
A)    
B)    
C)    C + D.
  
D)

Question 13

In the triangle below, c = 103.00 yd. Solve the triangle for sides a and b. Round sides to the nearest 100th of a unit.

Accepted Answer

A)  a = 132.54 yd, b = 163.67 yd 
B)  a = 163.67 yd, b = 132.54 yd 
C)  a = 80.05 yd, b = 64.82 yd 
D)  a = 64.82 yd, b = 80.05 yd 
A)  a = 132.54 yd, b = 163.67 yd 
B)  a = 163.67 yd, b = 132.54 yd 
C)  a = 80.05 yd, b = 64.82 yd 
D)  a = 64.82 yd, b = 80.05 yd

Question 14

Use the formula for area of a circular sector to find the value of the unknown quantity:   . Round your answer to the nearest tenth of a yard.
$\theta$=   ; A = 12.8 yd.

Accepted Answer

The answer of Use the formula for area of a...

Question 15

Given t ≈ 5.9 is a solution to cot t = -2.48, use the period of the function to name three additional solutions.

Accepted Answer

A)  4.3, 7.5, 9.0 
B)  2.8, 9.0, 12.2 
C)  1.2, 10.6, 15.3 
D)  6.7, 7.5, 8.3 
A)  4.3, 7.5, 9.0 
B)  2.8, 9.0, 12.2 
C)  1.2, 10.6, 15.3 
D)  6.7, 7.5, 8.3

Question 16

Find the value of the six trigonometric functions given P(4, -12) is on the terminal side of angle $\theta$, with $\theta$in standard position.

Accepted Answer

The answer of Find the value of the six trigonometric...

Question 17

Without using a calculator, find the value of t in [0, 2π) that corresponds to tan t =   with t in QIV.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Use the following to answer questions :
An employee looks out his office window at a factory across the street. He estimates his office building and the factory building are 60 ft apart, the angle of depression to the base of the factory is 62°, and the angle of elevation to the top of the factory building is 23°.
-How high above the ground is the employee's office window? Round to the nearest tenth of a foot.

Accepted Answer

A)  approx. 25.5 ft 
B)  approx. 28.2 ft 
C)  approx. 52.9 ft 
D)  approx. 112.8 ft 
A)  approx. 25.5 ft 
B)  approx. 28.2 ft 
C)  approx. 52.9 ft 
D)  approx. 112.8 ft

Question 19

Use a calculator to find the value of sec 33°, rounded to four decimal places.

Accepted Answer

A)  0.5446 
B)  1.8361 
C)  1.1924 
D)  0.8387 
A)  0.5446 
B)  1.8361 
C)  1.1924 
D)  0.8387

Question 20

Convert 6° to radians. Round to the nearest ten-thousandth.

Accepted Answer

The answer of Convert 6° to radians. Round to the...

Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). -Find the value of A.

Use the following to answer questions : y = 190 sin -Identify the endpoints of the primary interval (PI).

Use the given solution and the period of the function to name all real roots. t = , tan t ≈ 0.2936

Use the following to answer questions : y = 190 sin -Identify the amplitude (A).

State the exact value of . A diagram may help.

Graph f(t) = 3 tan t over the interval [-2π, 2π].

State the value of without the use of a calculator.

Evaluate tan 660° in exact form.

State the quadrant of the terminal side and the sign of the function in that quadrant. Then evaluate the expression using a calculator. Round to four decimal places. csc 669°

Write the equation of the graph given. Write the answer in the form y = A sin(Bt +

In the triangle below, c = 103.00 yd. Solve the triangle for sides a and b. Round sides to the nearest 100th of a unit.

Given t ≈ 5.9 is a solution to cot t = -2.48, use the period of the function to name three additional solutions.

Find the value of the six trigonometric functions given P(4, -12) is on the terminal side of angle $\theta$ , with $\theta$ in standard position.

Without using a calculator, find the value of t in [0, 2π) that corresponds to tan t = with t in QIV.

Use a calculator to find the value of sec 33°, rounded to four decimal places.

Convert 6° to radians. Round to the nearest ten-thousandth.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 5: Introduction to Trigonometric Functions

Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). -Find the value of A.

Use the following to answer questions : y = 190 sin -Identify the endpoints of the primary interval (PI).

Use the given solution and the period of the function to name all real roots. t = , tan t ≈ 0.2936

Use the following to answer questions : y = 190 sin -Identify the amplitude (A).

State the exact value of . A diagram may help.

Graph f(t) = 3 tan t over the interval [-2π, 2π].

State the value of without the use of a calculator.

Evaluate tan 660° in exact form.

State the quadrant of the terminal side and the sign of the function in that quadrant. Then evaluate the expression using a calculator. Round to four decimal places. csc 669°

Use the function value given to determine the value of the other five trig functions of the acute angle θ\thetaθ . Answer in exact form (a diagram will help).

Write the equation of the graph given. Write the answer in the form y = A sin(Bt +

In the triangle below, c = 103.00 yd. Solve the triangle for sides a and b. Round sides to the nearest 100th of a unit.

Use the formula for area of a circular sector to find the value of the unknown quantity: . Round your answer to the nearest tenth of a yard. θ\thetaθ = ; A = 12.8 yd.

Given t ≈ 5.9 is a solution to cot t = -2.48, use the period of the function to name three additional solutions.

Find the value of the six trigonometric functions given P(4, -12) is on the terminal side of angle θ\thetaθ , with θ\thetaθ in standard position.

Without using a calculator, find the value of t in [0, 2π) that corresponds to tan t = with t in QIV.

Use a calculator to find the value of sec 33°, rounded to four decimal places.

Convert 6° to radians. Round to the nearest ten-thousandth.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Find the value of the six trigonometric functions given P(4, -12) is on the terminal side of angle $\theta$ , with $\theta$ in standard position.